Search a number
-
+
41617655281 is a prime number
BaseRepresentation
bin100110110000100110…
…110000010111110001
310222102101221221101001
4212300212300113301
51140213104432111
631041402442001
73002216142646
oct466046602761
9128371857331
1041617655281
1116717099434
128095803301
133c0325a437
14202b379dcd
151138a221c1
hex9b09b05f1

41617655281 has 2 divisors, whose sum is σ = 41617655282. Its totient is φ = 41617655280.

The previous prime is 41617655251. The next prime is 41617655329. The reversal of 41617655281 is 18255671614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36343990881 + 5273664400 = 190641^2 + 72620^2 .

It is a cyclic number.

It is not a de Polignac number, because 41617655281 - 29 = 41617654769 is a prime.

It is a super-2 number, since 2×416176552812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41617655231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20808827640 + 20808827641.

It is an arithmetic number, because the mean of its divisors is an integer number (20808827641).

Almost surely, 241617655281 is an apocalyptic number.

It is an amenable number.

41617655281 is a deficient number, since it is larger than the sum of its proper divisors (1).

41617655281 is an equidigital number, since it uses as much as digits as its factorization.

41617655281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 403200, while the sum is 46.

The spelling of 41617655281 in words is "forty-one billion, six hundred seventeen million, six hundred fifty-five thousand, two hundred eighty-one".